Finite-time stochastic input-to-state stability of switched stochastic nonlinear systems

DOI10.1016/j.amc.2015.06.075zbMath1410.93144OpenAlexW961109211MaRDI QIDQ668224

Yu Kang, Yan Zhao, Wei Feng, Ping Zhao

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.075

zbMATH Keywords

switched systemstochastic nonlinear systemfinite-time globally asymptotically stable in probabilityfinite-time input-to-state stabilityFSISS-Lyapunov function

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Stochastic stability in control theory (93E15)

Related Items (13)

Adaptive finite-time control for stochastic nonlinear systems subject to unknown covariance noise ⋮ Finite-time stabilization of stochastic low-order nonlinear systems with time-varying orders and FT-SISS inverse dynamics ⋮ Finite time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Lévy noise ⋮ Finite-time input-to-state stability of switched stochastic time-varying nonlinear systems with time delays ⋮ Finite‐time integral input‐to‐state stability for switched nonlinear time‐delay systems with asynchronous switching ⋮ Finite-time stochastic integral input-to-state stability and its applications ⋮ Finite-time input-to-state stability of nonlinear systems: the discrete-time case ⋮ Sufficient conditions on finite‐time input‐to‐state stability of nonlinear stochastic impulsive time‐varying systems ⋮ Finite‐time stabilization of Markovian switched stochastic high‐order nonlinear systems with inverse dynamics ⋮ Continuous fixed-time convergent control design for stochastic super-twisting system ⋮ Finite-time stabilization of a class of cascade nonlinear switched systems under state-dependent switching ⋮ Finite-time stabilization of switched nonlinear systems with partial unstable modes ⋮ Robust finite-time fault estimation for stochastic nonlinear systems with Brownian motions

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